3x+2y=13

X-2y=-1

1 answer

To solve this system of equations, we can use the method of substitution.

Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation for x in terms of y:
x - 2y = -1
x = 2y - 1

Step 2: Substitute the expression for x from Step 1 into the other equation.
3(2y - 1) + 2y = 13

Step 3: Simplify and solve for y.
6y - 3 + 2y = 13
8y - 3 = 13
8y = 16
y = 2

Step 4: Substitute the value of y into one of the original equations to solve for x.
x - 2(2) = -1
x - 4 = -1
x = 3

The solution to the system of equations is x = 3 and y = 2.